高微分对象稳定单态范畴上的淤积对象

IF 0.4 4区数学 Q4 MATHEMATICS

Algebra Colloquium Pub Date : 2023-06-01 DOI:10.1142/s1005386723000184

Nan Gao, Xuanyu Liu, Jing Ma

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引用次数: 0

摘要

研究并使用高微分对象来解决三个一般问题。描述了路径代数上的无扭微分模。三角化范畴之间的伴随三元组，包括派生范畴和奇异范畴，可以由阿贝尔范畴[公式:见文]和[公式:见文]之间的伴随三元组构造而成。将阿贝尔范畴[式:见文]与[式:见文]之间的部分淤积性质进行转移，如果[式:见文]是弗罗贝纽斯，则[式:见文]的稳定单态范畴的部分淤积对象是由[式:见文]的部分淤积对象构造而来。

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Silting Objects over the Stable Monomorphism Category of Higher Differential Objects

Higher differential objects are investigated and used for addressing three general problems. Torsionless differential modules over path algebras are characterized. The adjoint triples between triangulated categories, involving derived categories and singularity categories, are allowed to be constructed from those between the abelian categories [Formula: see text] and [Formula: see text]. The partial silting properties between an abelian category [Formula: see text] and [Formula: see text] are transferred, and if moreover,[Formula: see text] is Frobenius, the partial silting objects of the stable monomorphism categories of [Formula: see text] are constructed from those of [Formula: see text].

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来源期刊

Algebra Colloquium 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

625

审稿时长

15.6 months

期刊介绍： Algebra Colloquium is an international mathematical journal founded at the beginning of 1994. It is edited by the Academy of Mathematics & Systems Science, Chinese Academy of Sciences, jointly with Suzhou University, and published quarterly in English in every March, June, September and December. Algebra Colloquium carries original research articles of high level in the field of pure and applied algebra. Papers from related areas which have applications to algebra are also considered for publication. This journal aims to reflect the latest developments in algebra and promote international academic exchanges.